Q. 36 B5.0( 1 Vote )

Find one-parameter families of solution curves of the following differential equations:

Answer :


This is a first order linear differential equation of the form

Here, P = –1 and Q = cos 2x

The integrating factor (I.F) of this differential equation is,

We have

I.F = e–x

Hence, the solution of the differential equation is,


5I = e–x(2 sin 2x – cos 2x)

By substituting the value of I in the original integral, we get

Thus, the solution of the given differential equation is

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